{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ARIMA Model\n",
    "Autoregressive Integrated Moving Average Model 自回歸移動平均模型  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference\n",
    "\n",
    "ARIMA算法解析与Python实现\n",
    "————————————————  \n",
    "版权声明：本文为CSDN博主「巴顿庄园」的原创文章，遵循CC 4.0 BY-SA版权协议，转载请附上原文出处链接及本声明。  \n",
    "原文链接：https://blog.csdn.net/fs01234/article/details/88914930\n",
    "\n",
    "The result you can see in this website:  \n",
    "ARIMA Model  \n",
    "https://gitee.com/danielsou0622/FINC4012-Project/blob/master/section/1_ARMA.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import the library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Import the library\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from arch import arch_model\n",
    "from arch.unitroot import ADF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot the graph\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, import the data with YTM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335\n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337\n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336\n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337\n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "link = '../data/portfolio.xlsx'\n",
    "sp500 = pd.read_excel(link)\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>DGS10_%</th>\n",
       "      <th>dgs10</th>\n",
       "      <th>ytm</th>\n",
       "      <th>price</th>\n",
       "      <th>Yield To Maturity</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-01</td>\n",
       "      <td>2.46</td>\n",
       "      <td>0.0246</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>418.22</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-02</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.90</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.076544</td>\n",
       "      <td>0.076544</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-03</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>417.97</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.016749</td>\n",
       "      <td>-0.016749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-06</td>\n",
       "      <td>2.49</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>417.83</td>\n",
       "      <td>0.0337</td>\n",
       "      <td>-0.033501</td>\n",
       "      <td>0.033501</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-07</td>\n",
       "      <td>2.52</td>\n",
       "      <td>0.0252</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>417.03</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>-0.191649</td>\n",
       "      <td>0.191649</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date  DGS10_%   dgs10     ytm   price  Yield To Maturity  log_return  \\\n",
       "0 2017-03-01     2.46  0.0246  0.0335  418.22             0.0335    0.000000   \n",
       "1 2017-03-02     2.49  0.0249  0.0337  417.90             0.0337   -0.076544   \n",
       "2 2017-03-03     2.49  0.0249  0.0336  417.97             0.0336    0.016749   \n",
       "3 2017-03-06     2.49  0.0249  0.0337  417.83             0.0337   -0.033501   \n",
       "4 2017-03-07     2.52  0.0252  0.0340  417.03             0.0340   -0.191649   \n",
       "\n",
       "       loss  \n",
       "0 -0.000000  \n",
       "1  0.076544  \n",
       "2 -0.016749  \n",
       "3  0.033501  \n",
       "4  0.191649  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500['log_return'] = np.log(sp500.price / sp500['price'].shift(1)) * 100\n",
    "sp500.loc[0,'log_return'] = 0\n",
    "sp500['loss'] = -sp500['log_return']\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    7.720000e+02\n",
       "mean     1.712441e+04\n",
       "std      3.082039e+05\n",
       "min     -2.843691e+06\n",
       "25%     -1.020808e+05\n",
       "50%      2.888380e+04\n",
       "75%      1.479257e+05\n",
       "max      1.864912e+06\n",
       "dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "budget = 1000000\n",
    "Return = pd.Series(np.dot(budget,sp500['log_return']), index = sp500.date)\n",
    "Return.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(sp500.shape[0])\n",
    "plt.figure( figsize = [10,8])\n",
    "SP = plt.axes()\n",
    "SP2 = SP.twinx()\n",
    "# SP.plot(X, sp500_rm['price'], color = 'black', label = 'Price')\n",
    "SP.plot(X, sp500['YTM'], label = 'YTM')\n",
    "SP2.plot(X, sp500['price'], label = \"Price\", color = 'red')\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AR(1) Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, plot the graph and set the formula\n",
    "\n",
    "ARIMA模型分析：\n",
    "先把ACF图和PACF图画出来看看"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ts_plot(data, lags=None, title=\"\"):\n",
    "    if not isinstance(data,pd.Series):\n",
    "        data = pd.Series(data)\n",
    "        \n",
    "    #matplotlib官方提供了五种不同的图形风格，\n",
    "    #包括bmh、ggplot、dark_background、fivethirtyeight和grayscale\n",
    "    with plt.style.context('ggplot'):\n",
    "        fig = plt.figure(figsize=(10,8))\n",
    "        layout = (3,2)\n",
    "        # Set the layout\n",
    "        ts_ax = plt.subplot2grid(layout, (0,0), colspan = 2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1,0))\n",
    "        pacf_ax = plt.subplot2grid(layout,(1,1))\n",
    "        qq_ax = plt.subplot2grid(layout,(2,0))\n",
    "        pp_ax = plt.subplot2grid(layout,(2,1))\n",
    "        # plot the graph time series data\n",
    "        data.plot(ax=ts_ax)\n",
    "        ts_ax.set_title(title + \"  Time Series Graph\")\n",
    "        # Graph acf\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = acf_ax, alpha = 0.5)\n",
    "        acf_ax.set_title('ACF')\n",
    "        # Graph PACF\n",
    "        smt.graphics.plot_pacf(data, lags = lags, ax = pacf_ax, alpha = 0.5)\n",
    "        pacf_ax.set_title('PACF')\n",
    "        # Graph QQ\n",
    "        sm.qqplot(data, line = 's', ax = qq_ax)\n",
    "        qq_ax.set_title(\"QQ Plot\")\n",
    "        # Graph PP\n",
    "        scs.probplot(data, sparams = (data.mean(), data.std()), plot = pp_ax)\n",
    "        pp_ax.set_title(\"PP Graph\")\n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟AR(1) 过程 \n",
    "#设置随机种子（括号里数字无意义）\n",
    "np.random.seed(1)\n",
    "# Time to simulate\n",
    "time = 5000\n",
    "\n",
    "# The params of AR Model\n",
    "a = 0.8\n",
    "\n",
    "# Error terms is normal distributed\n",
    "x = w = np.random.normal(size = time)\n",
    "for t in range(1,time):\n",
    "    x[t] = a * x[t-1] + w[t]\n",
    "\n",
    "ts_plot(x, lags = 22, title = \"White Noise\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.0335\n",
       "1    0.0337\n",
       "2    0.0336\n",
       "3    0.0337\n",
       "4    0.0340\n",
       "Name: ytm, dtype: float64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytm = sp500['ytm']\n",
    "log_return = sp500['log_return']\n",
    "price = sp500['price']\n",
    "ytm.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    772.000000\n",
       "mean       0.017124\n",
       "std        0.308204\n",
       "min       -2.843691\n",
       "25%       -0.102081\n",
       "50%        0.028884\n",
       "75%        0.147926\n",
       "max        1.864912\n",
       "Name: log_return, dtype: float64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_return.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### YTM Part"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(ytm, lags=20, title=\"YTM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>    <td>-1.194</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.676</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>12</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                 -1.194\n",
       "P-value                         0.676\n",
       "Lags                               12\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(ytm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Price Part"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(price,lags=40, title=\"Price \" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>    <td>-0.808</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.817</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>11</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                 -0.808\n",
       "P-value                         0.817\n",
       "Lags                               11\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Price-diff(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "price_diff = price.diff(1).iloc[1:].dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(price_diff, lags =30, title = \"price diff \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-10.657</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>10</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -10.657\n",
       "P-value                         0.000\n",
       "Lags                               10\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Log Return Part"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(log_return, lags =30, title = \"Log Return \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-10.479</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>10</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -10.479\n",
       "P-value                         0.000\n",
       "Lags                               10\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build ARIMA Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:214: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                              ARMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                  price   No. Observations:                  771\n",
      "Model:                     ARMA(5, 2)   Log Likelihood               -1287.387\n",
      "Method:                           css   S.D. of innovations              1.299\n",
      "Date:                Wed, 29 Apr 2020   AIC                           2592.775\n",
      "Time:                        11:02:50   BIC                           2634.546\n",
      "Sample:                             5   HQIC                          2608.854\n",
      "                                                                              \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const           0.0748      0.061      1.237      0.216      -0.044       0.193\n",
      "ar.L1.price     1.8193      0.118     15.420      0.000       1.588       2.051\n",
      "ar.L2.price    -1.0176      0.174     -5.851      0.000      -1.358      -0.677\n",
      "ar.L3.price     0.1463      0.087      1.675      0.094      -0.025       0.318\n",
      "ar.L4.price    -0.0273      0.079     -0.345      0.730      -0.182       0.127\n",
      "ar.L5.price    -0.0272      0.046     -0.596      0.551      -0.117       0.062\n",
      "ma.L1.price    -1.5506      0.112    -13.813      0.000      -1.771      -1.331\n",
      "ma.L2.price     0.6871      0.129      5.318      0.000       0.434       0.940\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1            1.0014           -0.3267j            1.0534           -0.0502\n",
      "AR.2            1.0014           +0.3267j            1.0534            0.0502\n",
      "AR.3            0.8193           -2.5433j            2.6720           -0.2004\n",
      "AR.4            0.8193           +2.5433j            2.6720            0.2004\n",
      "AR.5           -4.6453           -0.0000j            4.6453           -0.5000\n",
      "MA.1            1.1284           -0.4267j            1.2064           -0.0575\n",
      "MA.2            1.1284           +0.4267j            1.2064            0.0575\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def build_model(data):\n",
    "    # Build ARIMA Model\n",
    "    model = smt.ARMA(data, order = (5,2,1)).fit(method='css')\n",
    "    resid = model.resid\n",
    "    print(model.summary())\n",
    "    return model\n",
    "    #使用最小二乘，‘mle’是极大似然估计\n",
    "\n",
    "price_model = build_model(price_diff)\n",
    "\n",
    "#画图比较一下预测值和真实观测值之间的关系\n",
    "fig = plt.figure(figsize=(20,10))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(price_diff, color ='blue', label = 'Log Return')\n",
    "ax.plot(price_model.fittedvalues, color = 'red', label = 'ARIMA')\n",
    "ax.set_title(\"The difference with ARIMA and Log Return\", size=14)\n",
    "plt.legend(loc = 'best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:               D2.price   No. Observations:                  770\n",
      "Model:                 ARIMA(5, 2, 1)   Log Likelihood               -1309.304\n",
      "Method:                       css-mle   S.D. of innovations              1.320\n",
      "Date:                Wed, 29 Apr 2020   AIC                           2634.607\n",
      "Time:                        11:04:33   BIC                           2671.779\n",
      "Sample:                             2   HQIC                          2648.913\n",
      "                                                                              \n",
      "==================================================================================\n",
      "                     coef    std err          z      P>|z|      [0.025      0.975]\n",
      "----------------------------------------------------------------------------------\n",
      "const           6.954e-05      0.000      0.166      0.868      -0.001       0.001\n",
      "ar.L1.D2.price     0.3049      0.036      8.462      0.000       0.234       0.376\n",
      "ar.L2.D2.price     0.1081      0.038      2.869      0.004       0.034       0.182\n",
      "ar.L3.D2.price     0.1005      0.038      2.658      0.008       0.026       0.175\n",
      "ar.L4.D2.price     0.0014      0.038      0.037      0.971      -0.073       0.076\n",
      "ar.L5.D2.price    -0.0224      0.037     -0.600      0.548      -0.095       0.051\n",
      "ma.L1.D2.price    -0.9999      0.004   -282.283      0.000      -1.007      -0.993\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1            1.6713           -0.0000j            1.6713           -0.0000\n",
      "AR.2            2.4092           -0.0000j            2.4092           -0.0000\n",
      "AR.3           -0.6935           -1.9346j            2.0551           -0.3048\n",
      "AR.4           -0.6935           +1.9346j            2.0551            0.3048\n",
      "AR.5           -2.6307           -0.0000j            2.6307           -0.5000\n",
      "MA.1            1.0001           +0.0000j            1.0001            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "def build_arima(data):\n",
    "    from statsmodels.tsa.arima_model import ARIMA\n",
    "    \n",
    "    # Fitted\n",
    "    arima_model = ARIMA(data, order=(5,2,1))\n",
    "    arima_fitted = arima_model.fit()\n",
    "    print(arima_fitted.summary())\n",
    "    return arima_fitted\n",
    "    \n",
    "price_model_arima = build_arima(price)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Forecast - ARIMA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Predicted Value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>51.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>475.033401</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.513653</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>474.870539</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>474.871060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>474.871858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>474.876781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>477.330000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Predicted Value\n",
       "count        51.000000\n",
       "mean        475.033401\n",
       "std           0.513653\n",
       "min         474.870539\n",
       "25%         474.871060\n",
       "50%         474.871858\n",
       "75%         474.876781\n",
       "max         477.330000"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#最后，把预测值还原为原始数据的形式，预测值是差分数值，需要转化\n",
    "def forecast(step, var,modelname):\n",
    "    diff = list(modelname.predict(len(var) - 1, len(var) - 1 + step, dynamic = True))\n",
    "    prediction = []\n",
    "    prediction.append(var[len(var) - 1])\n",
    "    seq = []\n",
    "    seq.append(var[len(var) - 1])\n",
    "    seq.extend(diff)\n",
    "    \n",
    "    for i in range(step):\n",
    "        value = prediction[i] + seq[i+1]\n",
    "        prediction.append(value)\n",
    "        \n",
    "    prediction = pd.DataFrame({'Predicted Value' : prediction})\n",
    "    return prediction\n",
    "\n",
    "forecast(50, price, price_model).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>    <td>-0.808</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.817</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>11</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                 -0.808\n",
       "P-value                         0.817\n",
       "Lags                               11\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-10.657</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                  <td>10</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -10.657\n",
       "P-value                         0.000\n",
       "Lags                               10\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：一阶差分后平稳。\n",
    "\n",
    "上面一个是原始数据，差分前的单位根检验结果，下面一个是差分后的检验结果。  \n",
    "单位根检验结果的分析主要看两个方面：  \n",
    "1. 第一，ADF-Test result同时小于1%、5%、10%即说明非常好地拒绝该假设  (原假设H0：时间序列具有单位根（不平稳）)。\n",
    "2. 第二，P-value是否非常接近0，本示例中，P-value 为 9e-10,接近0。  \n",
    "综上，差分后，本示例数据平稳了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/pandas/plotting/_core.py:2477: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  ax.hist(values, bins=bins, **kwds)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(*args, **kw)>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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baqMOyblp8aThXAkdpWHKG/sgmLQQvKXhkseThnMldMQaaJ7iclt4aUyjyzxpuGTxpOFcCR2zhinv0YDcMQ3vnnLJEmnSkLRa0lZJ2yRdN872D0t6StLjku6XdFbOtk+G9bZKuizKOJ0rlWAgfOqkUcMgFQyT9paGS5jIkkb4jO/bgLcCZwHvzU0KoW+b2Tlmdh7wOeDWsO5ZBM8UPxtYDfx99pnhzp2oBqyCfqqnvEcDQArGNbyl4ZImypbGhcA2M9thZoPABmBNbgEzy318WT2QnTRhDbDBzAbMbCewLdyfcyesrnBQu4mpkwYEV1B1e0vDJUyUzwhfDOzNed0BXDS2kKSPAh8HqoDfyan74Ji6i6MJ07nSyCaARk1+Y19WI71+9ZRLnCiTRl7M7DbgNkl/AHwKuDrfupLWAmsBWltbSaVSM4olnU7PeB9R8vgKF3tsq25iR281PAe7lryTVNNbjtucrl5EatVNx60b2dbKXk5OxDmN/fxNIsmxQbLjS6enHl8bK8qksQ9YmvN6SbhuIhuAf5hOXTNbD6wHaGtrs/b29hmEC6lUipnuI0oeX+Fij23dGspHXg38BRfv+ycu2L/1uM2pVTfRvvXG49Z9a/Dj7LUFtLdfWcJAxxf7+ZtEkmODZMdXSDKLckxjE7BS0gpJVQQD2xtzC0hamfPy7cBz4fJG4CpJ1ZJWACuBhyKM1bnIdYWTD+Y9poGPabjkiaylYWbDkq4F7gHKgdvNbLOkm4GHzWwjcK2kS4Ah4Ahh11RY7k5gCzAMfNTMRqKK1blSyE4Jkp0iZCpN8jENlzyRjmmY2d3A3WPW3ZCz/LFJ6n4G+Ex00TlXWi+1NPJLGo30kaYWM0NTzXDoXIn4HeHOlUi31VFGhnr68yrfqF4ylNEz6I1slxyeNJwrkS7qaKR3ymnRs0anEukfijAq56bHk4ZzJdJtdXmPZ0DO9Oj9w1GF5Ny0edJwrkS6qMt7PANypkf3loZLEE8azpVIl9WNdjnloyG8c7zLWxouQTxpOFciXdSNPicjH01495RLHk8azpVI9zRbGi+NaXj3lEsOTxrOlch0WxqN3tJwCeRJw7kSyJhIUzutgfA6BihnxFsaLlE8aThXAmlqMMqmdcmtBA30eUvDJYonDedKoHv0AUz5Jw0IxjXSnjRcgnjScK4EukYfwDTNpEGvX3LrEsWThnMlUHBLgz4f03CJ4knDuRLoLrCl0aReH9NwieJJw7kS6Cq4pdFL94C3NFxyeNJwrgQKbWk0yq+ecsniScO5Esi2NKZzR3i2fHf/MGYWRVjOTVukSUPSaklbJW2TdN042z8uaYukJyX9TNKynG0jkh4PfzaOrevciaTb6qhmkGpNr9XQqF5GMkbfkD+IySVDZI97lVQO3AZcCnQAmyRtNLMtOcUeA9rMrFfSHwOfA94Tbuszs/Oiis+5UuqiniZ6pl0vdyqRuqpIn87sXF6ibGlcCGwzsx1mNghsANbkFjCz+8ws215/EFgSYTzOxabLamkMpzqfjmwdv+zWJYWi6iuVdCWw2sw+FL5+P3CRmV07Qfm/Aw6Y2V+Gr4eBx4Fh4BYzu2ucOmuBtQCtra3nb9iwYUYxp9NpGhoaZrSPKHl8hYs7ti/c/wK9mTJuWNkx7vZ09SIaBp5/2fonu+q4dediPvX6Gk6fUx51mBOK+/xNJsmxQbLjS6fTXH755Y+YWVu+dRLR3pX0PqANeFPO6mVmtk/SqcDPJT1lZttz65nZemA9QFtbm7W3t88ojlQqxUz3ESWPr3Bxx/Y39/wNi9VH+9Zbxt2eWnUT7VtvfNn6xsxKbuUmVp71Gt50xoKow5xQ3OdvMkmODZIdXyqVmnadKLun9gFLc14vCdcdR9IlwPXAFWY2kF1vZvvCf3cAKeC1EcbqXKRmPqbh3VMuGaJMGpuAlZJWSKoCrgKOuwpK0muBLxMkjBdy1s+VVB0utwAXA7kD6M6dULqtlqYCxjQaRsc0/F4NlwyRdU+Z2bCka4F7gHLgdjPbLOlm4GEz2wh8HmgAviMJYI+ZXQGcCXxZUoYgsd0y5qor504ohbc0fCDcJUteSUPSvwJfAX5sZpl8d25mdwN3j1l3Q87yJRPUewA4J9/jOJdkA8MjDFA17bvBAerpR/KWhkuOfLun/h74A+A5SbdIWhVhTM7NKtkv/OnOOwVQJqOhusKThkuMvJKGmf3UzP4z8DpgF/BTSQ9I+kNJlVEG6NyJLvuFX0hLA6CpppIu755yCZH3QLik+cA1wIcI7uT+IkESuTeSyJybJbr6gi/8QloaAI013tJwyZHvmMb3gVXAN4DLzWx/uOlfJD0cVXDOzQYzbmnUVvpAuEuMfK+e+sdwUHuUpGozG5jOnYTOvRJlu5YKbWk01VTw/NH+YobkXMHy7Z76y3HW/aqYgTg3W2VbCYW2NBprKv1BTC4xJm1pSDoZWAzUhjfiKdzUBOEDApxzk+rqK/zqKQhaGtl9OBe3qbqnLiMY/F4C3Jqzvhv4i4hicm5W6e4fQmSop7AupsaaYEzDzAhvgnUuNpMmDTP7GvA1Se8ys++VKCbnZpWu/mEa6aNMhc0o3VRbQcagZ3CEhupEzDHqXsGm6p56n5l9E1gu6eNjt5vZreNUc87l6OofmvZjXnM11gS3QnX3D3nScLGb6hNYH/6bzMngnTsBdPUN06TpzzuV1VgT/Jp29w+zsLlYUTlXmKm6p74c/ntTacJxbvbp7h8anXiwEE1hSyN7k6BzccrrkltJn5PUJKlS0s8kvRg+OMk5N4Xu/mGaCrzcFo5vaTgXt3zv03iLmXUB7yCYe+p04H9EFZRzs0lX/1DBl9tCcEd4dj/OxS3fpJHtxno78B0zOxZRPM7NOt39wwXf2AcvtTS6vKXhEiDfSzF+JOlZoA/4Y0kLoMCLzp17BTEzuvuHaCqbQUvDxzRcguQ7Nfp1wG8DbWY2BPQAa6IMzLnZoGdwhIwVPoUIQE1lOVXlZT6m4RJhOs8IfxXwHkkfAK4E3jJVBUmrJW2VtE3SdeNs/7ikLZKeDAfYl+Vsu1rSc+HP1dOI07nEeGla9MIvuYXs9Oje0nDxy3dq9G8ApwGPAyPhagO+PkmdcuA24FKgA9gkaeOYZ30/RtB66ZX0x8DnCBLTPOBGoC08ziNh3SPT+t85F7PRGW5n0NKAYDDcxzRcEuQ7ptEGnGVm05kH4UJgm5ntAJC0gaBLazRpmNl9OeUfBLKX8V4G3Gtmh8O69wKrgX+exvGdi91MJyvM8paGS4p8k8bTwMnA/qkK5lgM7M153QFcNEn5DwI/nqTu4rEVJK0F1gK0traSSqWmEd7LpdPpGe8jSh5f4eKK7bEXgqTx3PL3MVw3MGG5dPUiUqsmuIc2lWKkr4+ONLGdX39vC5fk+NLp9LTr5Js0WoAtkh4CRj/5ZnbFtI84jvBGwTbgTdOpZ2brgfUAbW1t1t7ePqM4UqkUM91HlDy+wsUV25HHOuDRJ3jz7r9mednBCculVt1E+9Ybx9/43mP8S8cjbHshTXv7tH5Fisbf28IlOb5Cklm+SWPdtPcM+4ClOa+XhOuOI+kS4HrgTWY2kFO3fUzdVAExOBer0e6pmY5p1FT6zX0uEfK95PYXBHeCV4bLm4BHp6i2CVgpaYWkKuAqYGNugfDBTl8GrjCzF3I23QO8RdJcSXMJrtS6J59YnUuS7NVTM5nlFrJjGj4Q7uKX79xT/wX4LsEXPATjC3dNVsfMhoFrCb7snwHuNLPNkm6WlO3W+jzBDLrfkfS4pI1h3cPApwkSzybg5uyguHMnkq7+IWory6nUyNSFJ9FYU0nv4AjDI5kiReZcYfLtnvoowdVQvwYws+cknTRVJTO7G7h7zLobcpYvmaTu7cDtecbnXCJ19Q3TVFsBgzPbT1PtS5MWzq2vKkJkzhUm35v7Bsxs9GMvqYLg/gnn3CS6+odGpwGZiZcexORdVC5e+SaNX0j6C6BW0qXAd4AfRheWc7NDV//Q6Cy1M9E0OmmhD4a7eOWbNK4DXgSeAv4rQZfTp6IKyrnZoqtvePQLfyayLQ1PGi5ueX2azSwj6S7gLjN7MeKYnJs1uvuHOHVB/dQFp5Ad08hewutcXCZtaSiwTtIhYCuwNXxq3w2T1XPOBbr6h4syptE0OqbhLQ0Xr6m6p/4MuBi4wMzmmdk8gqlALpb0Z5FH59wJzMzo6hsafYjSTPgjX11STJU03g+818x2ZleEExC+D/hAlIE5d6LrGxphOGNFGQhvqPaBcJcMUyWNSjM7NHZlOK4x898E52ax0SlEitA9VVFeRn1Vubc0XOymShqT3ZI0w9uVnJvdRp+lUTvz7qlgP5X+yFcXu6k+zedK6hpnvYCaCOJxbtYYfWpfEVoa4PNPuWSYNGmYWXmpAnFutsl+wRdjTAOC5HPMWxouZtN5RrhzbhpGu6eKcPUUwJw6Txoufp40nIvI6LToReqeaq6t8qThYudJw7mIdIXdU8W4TwOClsbRXr/+xMXLk4ZzEenqG6K6ooyayuIMDc6tq6RncITBYX+mhouPJw3nInKsrzgz3GY11wXP0Tja560NFx9PGs5F5EjvIHPripc05oQJ6Fivj2u4+ESaNCStlrRV0jZJ142z/Y2SHpU0LOnKMdtGwkfAjj4G1rkTydHeIebUFe8pe3PCBHTUB8NdjIozQjcOSeXAbcClQAewSdJGM9uSU2wPcA3wiXF20Wdm50UVn3NRO9o7xLL5dUXb35zaqtH9OheXKFsaFwLbzGxH+KjYDcCa3AJmtsvMngR8ZM/NOkH3VPFbGkf8CioXo8haGsBiYG/O6w6CadXzVSPpYWAYuMXM7hpbQNJaYC1Aa2srqVSq8GiBdDo9431EyeMrXKljMzMO9wzQ3XmAVOowrLpp0vLp6kWkJioTxt03bAA88tSznJTeXsxwp+TvbeGSHF86nZ52nSiTxkwtM7N9kk4Ffi7pKTM77jfFzNYD6wHa2tqsvb19RgdMpVLMdB9R8vgKV+rYegeHGb7nHs5ZdRrt7afBujWTlk+tuon2rTeOv/G9x4AgEZX//Me0LFpKe/urih3ypPy9LVyS4yskmUXZPbUPWJrzekm4Li9mti/8dweQAl5bzOCci1J23KGYV09JYk5tpY9puFhFmTQ2ASslrZBUBVwF5HUVlKS5kqrD5RaCpwdumbyWc8mRHXeYU8SkAdBcV+lXT7lYRZY0zGwYuBa4B3gGuNPMNku6WdIVAJIukNQBvBv4sqTNYfUzgYclPQHcRzCm4UnDnTCyrYFiXnILwb0afp+Gi1OkYxpmdjdw95h1N+QsbyLothpb7wHgnChjcy5KL3VPFTlp1FVxsKu/qPt0bjr8jnDnIhBV91QwaaG3NFx8PGk4F4HsFObNRZx7CoIb/Hx6dBcnTxrOReBIzyC1leVFm+E2a05dJemBYYZG/H5YFw9PGs5F4EjvUFEvt83Kdnd5a8PFxZOGcxE41jdY9Cun4KXuLn8Yk4uLJw3nInCkd6jog+Dw0iW8R3ww3MXEk4ZzETjcM8i8+uK3NOaH+zzc4y0NFw9PGs5F4FD3AC0N1UXfb3afh9IDRd+3c/nwpOFckfUPjdA9MExLQ/FbGtnWS2faWxouHp40nCuyzrDrKIqWRlVFGU01FXR6S8PFxJOGc0V2qDv4Qo8iaQC0NFZzyFsaLiaeNJwrsux4w/wIuqcAWuqrfUzDxcaThnNFlh1viK6lUeVJw8XGk4ZzRfZi+IW+oDGapDG/vnp03MS5UvOk4VyRHUoP0FBdUfR5p7LmN1RxtHfI559ysfCk4VyRdaYHIxvPgJe6vfwGPxcHTxrOFdkL3f0siGg8Axi9/8PHNVwcIk0aklZL2ippm6Trxtn+RkmPShqWdOWYbVdLei78uTrKOJ0rpgPH+lk4pzay/WdbGn6Dn4tDZElDUjlwG/BW4CzgvZLOGlNsD3AN8O0xdecBNwIXARcCN0qaG1WszhWLmbH/WD8Lm2siO8Z8n0rExSjKlsaFwDYz22Fmg8AGYE1uATPbZWZPAmNH9C4D7jWzw2Z2BLgXWB1hrM4VxZHeIQaGM5zcFF3S8O4pF6eKCPe9GNib87qDoOVQaN3FY5/cJVIAABEPSURBVAtJWgusBWhtbSWVShUUaFY6nZ7xPqLk8RWuVLHt7hoBoLNjO6nU7pc2rLpp0nrp6kWkJiozJm4zo7ocHt68jTMye8evU2T+3hYuyfGl0+lp14kyaUTOzNYD6wHa2tqsvb19RvtLpVLMdB9R8vgKV6rYfvbMQXjgYS69uI3zls55acO6NRNXAlKrbqJ9643jb3zvsZetWvxoioqmRtrbz59JuHnz97ZwSY6vkGQWZffUPmBpzusl4bqo6zoXm+eP9QNEOqYBsKi5lv3hsZwrpSiTxiZgpaQVkqqAq4CNeda9B3iLpLnhAPhbwnXOJdqBY31UlCmyKUSyTm6u4YAnDReDyJKGmQ0D1xJ82T8D3GlmmyXdLOkKAEkXSOoA3g18WdLmsO5h4NMEiWcTcHO4zrlE23+0n9amGsrLFOlxFjbXcLCrn2G/K9yVWKRjGmZ2N3D3mHU35CxvIuh6Gq/u7cDtUcbnXLHtPtzL0nnR3aORtbC5lowF81wtbI7+eM5l+R3hzhXR7s4els2rj/w42TETH9dwpeZJw7kiSQ8Mcyg9yLKWusiPdXI2aRz1pOFKy5OGc0Wyp7MXoMQtjb7Ij+VcrhP6Pg3nkmR3Zw8Ay+YXuaWxrvllq5oNarmdAz/5AvzsW5PUffk9Hs7NhLc0nCuS3YfDlkaxk8Y4JFiow+y3+ZEfy7lcnjScK5LtL6RpaaimsaayJMdbohfZYyeV5FjOZXnScK5Ith7s5lUnN5bseMt1kF3WilnJDumcJw3nimEkY/zmYDdntJYuaSzTAbqp5ygNJTumc540nCuCvYd76R/KlLSlsUwvALDLWkt2TOc8aThXBM8e6AZgVUm7pw4AsNtOLtkxnfOk4VwRbD3QjQQrW0vXVbRELyIy3tJwJeVJw7ki+M3Bbk6ZV0ddVelufarREIvoZE/Gk4YrHb+5z7l8jXOTXdbTA7dypvbAuneWMCBYVnbQWxqupLyl4dwMHbZGdtvJnFe2reTHXqaD7LSFftmtKxlPGs7N0BOZUwE4V9tLfuwz1MERGjlEU8mP7V6ZPGk4N0OPZ06njAyvKdtR8mOv0l4AtmZOKfmx3SuTJw3nZugJO42V6qBeAyU/9qqyMGnYuM8yc67oIk0aklZL2ippm6TrxtleLelfwu2/lrQ8XL9cUp+kx8OfL0UZp3OFMoMnMqdxblnpu6YA5qubFo6x1ZbGcnz3yhPZ1VOSyoHbgEuBDmCTpI1mtiWn2AeBI2Z2uqSrgM8C7wm3bTez86KKz7li2GMncYRGzothPCPrjLK9bM140nClEWVL40Jgm5ntMLNBYAOwZkyZNcDXwuXvAr8rSRHG5FxRPWJnAMRy5VTWKu3lOVtCxvxXx0VPFtG1epKuBFab2YfC1+8HLjKza3PKPB2W6QhfbwcuAhqAzcBvgC7gU2b2y3GOsRZYC9Da2nr+hg0bZhRzOp2moSG5k795fIUrSmz7H3/Zqq/uPYlNxxr4u7N3UDaD7+x09SIaBp4vqO4vOpv4akcrt7xqFydXDx2/cWFxGuuz/r2NUJLjS6fTXH755Y+YWVu+dZJ6c99+4BQz65R0PnCXpLPNrCu3kJmtB9YDtLW1WXt7+4wOmkqlmOk+ouTxFa4osa0b21CGmwe+wOu1nd/5zRdmtOvUqpto33pjQXVPypzCV7mF2u0/or38geM3vrc4T+6b9e9thJIcXyqVmnadKLun9gG5Ha1LwnXjlpFUATQDnWY2YGadAGb2CLAdOCPCWJ2btkPWxA5bxIVlz8YaxxnqoJZ+Hs+cFmsc7pUhyqSxCVgpaYWkKuAqYOOYMhuBq8PlK4Gfm5lJWhAOpCPpVGAlUPqL4J2bxKbMKgAuKNsaaxwVynCOdvKEJw1XApElDTMbBq4F7gGeAe40s82SbpZ0RVjsK8B8SduAjwPZy3LfCDwp6XGCAfIPm9nhqGJ1rhC/zpxJDQOco/j/njm3bDtP23IGrTzuUNwsF+mYhpndDdw9Zt0NOcv9wLvHqfc94HtRxubcTG3KrOJ1Zc9RpZG4Q+Hcsu0MjlSx1U7hHO2MOxw3i/kd4c4VoMtq2WLLuEDxdk1lvTa85DfbZeZcVDxpOFeAX2XOxijjt8o3xx0KAIvVyTId4IHM2XGH4mY5TxrOFeD+zKupo5/X6bm4Qxl1cdnTPJg5k2HzX2sXHf90OVeA+zPn8PqyLYkYz8i6uGwzaep4wvwqKhcdTxrOTdPeTAs7bSFvKHs67lCO81tlWxAZ7s+8Ou5Q3CzmScO5abo/cw4Abyx7MuZIjjdP3bxW27hn5IK4Q3GzmCcN56YplTmXhXRymgqbKypKby9/kC22nB2Zk+MOxc1SnjScm4Zeq+YXmXO5tPwRkjgf89vKHwLgrpGLY47EzVaeNJybhl9kXkM/1awueyjuUMa1UIf5nbJH+fbIJfRbZdzhuFnIk4Zz0/CTkQuZS3fskxRO5o/Kf8IhmvnOyJviDsXNQp40nMtTt9Vyb+Z8LivfRIUycYczoYvLnub1ZZv5wvDvcyhd+ueWu9nNk4ZzefrByG/TSw1Xld8XdyiTkuDTFXfQRxUf+eaj9A8l514Sd+LzpOFcHkYyxh0jl3GmdnFujM8Dz9fKsn18vvLLPLTrMNd89SG6+oemruRcHjxpOJeHHz7xPNtsCddW/CCRV02NZ035r/jiVefxyO4j/P6XfkXHkd64Q3KzgCcN56ZwuGeQz9z9DGdrJ29N6FVTE1lz3mLu+MML2Xe0j3fe9h88uudI3CG5E5wnDecm0Tc4wke+9QjHeof4fOWXKZPFHdK0XXx6C9//yMXUV1dw1foH+cHjY5+67Fz+In0Ik3Mngq7+IZ55vovBkQxNNZW0NFbTUF3Bpp2H+exPnmX7i2n++j3ncdZde+IOtWCnn9TAXR+5mP/6zUf42IbH2f5iD392yUp0ovS1ucSINGlIWg18ESgH/snMbhmzvRr4OnA+0Am8x8x2hds+CXwQGAH+xMzuiTJWV3z9QyM8s7+LQ+lB5tRVsurkRppqknHDmZnx8O4j3PHALu55+gDDmfFbEIuaa/jqH17Im85YAHeVOMhiWNc8ujgX+KaVc335B/nbn8Gm++7iExV38jo9N/E4zbpjAAxnjEf3HGHbwTT9wyPUV1Uwv6GKBY3VnDKvjsaEvK8uepElDUnlwG3ApUAHsEnSRjPbklPsg8ARMztd0lXAZ4H3SDoLuAo4G1gE/FTSGWb2irp20MxyliFjRiZj2ERljlufs4yNu/74Y41fvqtvmH1H+9h3tI+9h3vZ3dlDZ3qQinLRVFPJvIYq5tdXMbeuij0Hh9n5Hzt5dn83T+47xnMHu1/2Zbx8fh1nLmzi1AX1VJWXMzgyQu/gCH2Dwb81lWWsaGlgRUsdi+fUcXJzDc21lVSWC0mYGf1DGXoGh3n+aB+7OnvZ09lDx5E+DqUHqSgTCxqrWdFSz/KWOhY219LaVEPvkHHoxqU8b/N5KPMqfjjy2zxhp9FEDx8o/wVvrHySOg3QZfUcsia6qGel9vGG/qeo/Pbs+dhVaYTPVaznNdrBF4ffxbsGb+J0dfC7ZY/x2rJtLNUL1NNPmhp22kI2//hZHt19hMf29DL0bw9MuN959VWcMq+OUxfUc0ZrI2e0NrDypEbm1FVSX1VBWdnLs9LgcIajvYMc7h1k/9F+9h3t4/nwp2dwhJaGKhY113LK/DqWzK1j6bxa5tVVUV4mbyHFSDbRt8hMdyz9FrDOzC4LX38SwMz+KqfMPWGZX0mqAA4AC4DrcsvmlpvoeG1tbfbwww9PO87DPYO84bM/B2B4ZITysnJg4i/a485WHl/M0/2CT7oFjdW0NFQzcmAzXVbHYZoY5Pi/MufSzavLdvIa7eCcsh0sUied1sxmW8bmzHKesWXssZPIUEY5I9QxQC0D1GmAHqvmReaOe+wKhhmhDBtnKK6FoyzQUUYoZ7/No5v6Sf8fZ2gv7y+/l3eV/5I6xX8DXGrVTbRvvbGkx+y1ar4/cjEbR36bR+0Mhsb5G7KCYc7WLk6eP5/fO3YHZ2k3teqn12o4RDMHbB577CT2WCu7rJXtmUW8MM77V8kwBhjCCL7wM+O8jxUMc7IOU3/SaRxKD9DZMzhu7FXlZWHygJGREcrLy2d2MiI0MjJCRcTxvWbJHP557eunXS+VSvHmN7/5ETNry7dOlEnjSmC1mX0ofP1+4CIzuzanzNNhmY7w9XbgImAd8KCZfTNc/xXgx2b23THHWAusDV+uAmb6wOYW4NAM9xElj69wSY4NPL6ZSHJskOz4WoB6M1uQb4UTeiDczNYD64u1P0kPTyfjlprHV7gkxwYe30wkOTZIdnxhbMunUyfKS273AUtzXi8J141bJuyeaiYYEM+nrnPOuRKLMmlsAlZKWiGpimBge+OYMhuBq8PlK4GfW9BfthG4SlK1pBXASuDEuqvKOedmoci6p8xsWNK1wD0El9zebmabJd0MPGxmG4GvAN+QtA04TJBYCMvdCWwBhoGPlujKqaJ1dUXE4ytckmMDj28mkhwbJDu+accW2UC4c8652cenEXHOOZc3TxrOOefy5kkDkPR5Sc9KelLS9yXNydn2SUnbJG2VdFlM8b1b0mZJGUltOeuXS+qT9Hj486WkxBZui/3cjYlnnaR9OefrbQmIaXV4frZJui7ueMaStEvSU+H5mv7ds8WP53ZJL4T3eGXXzZN0r6Tnwn/Hvzs0vvgS8bmTtFTSfZK2hL+zHwvXT+/8mdkr/gd4C1ARLn8W+Gy4fBbwBFANrAC2A+UxxHcmwc2LKaAtZ/1y4OmYz91EsSXi3I2JdR3wibg/bznxlIfn5VSgKjxfZ8Ud15gYdwEtcceRE88bgdflfu6BzwHXhcvXZX9/ExRfIj53wELgdeFyI/Cb8Pd0WufPWxqAmf2bmQ2HLx8kuC8EYA2wwcwGzGwnsA24MIb4njGzmd7tHolJYkvEuUu4C4FtZrbDzAaBDQTnzU3AzP6d4ErLXGuAr4XLXwPeWdKgckwQXyKY2X4zezRc7gaeARYzzfPnSePl/gj4cbi8GNibs60jXJckKyQ9JukXkv5T3MHkSOq5uzbshrw9zm6MUFLPUS4D/k3SI+G0PUnUamb7w+UDQGucwUwgSZ87JC0HXgv8mmmevxN6GpHpkPRT4ORxNl1vZj8Iy1xPcF/It0oZW3jsKeMbx37gFDPrlHQ+cJeks82sKwGxxWKyWIF/AD5N8EX4aeD/EPyR4Cb2BjPbJ+kk4F5Jz4Z/TSeSmZmUuCdlJepzJ6kB+B7wp2bWlTtjcD7n7xWTNMzsksm2S7oGeAfwuxZ27lHC6Uymim+COgPAQLj8SDjh4xlAUQcsC4mNmKaCyTdWSf8I/CjicKaS+OlyzGxf+O8Lkr5P0KWWtKRxUNJCM9svaSHwQtwB5TKzg9nluD93kioJEsa3zOxfw9XTOn/ePcXow6L+HLjCzHpzNiV6OhNJCxQ8twRJpxLEtyPeqEYl7tyFvxBZvwc8PVHZEslnqp3YSKqX1JhdJrhgJO5zNp7c6YiuBpLW+k3E505Bk+IrwDNmdmvOpumdv7hH9JPwQzBIuxd4PPz5Us626wmucNkKvDWm+H6PoL97ADgI3BOufxewOYz5UeDypMSWlHM3JtZvAE8BT4a/KAsTENPbCK5i2U7Q3RdrPGNiO5Xgiq4nws9Z7PEB/0zQLTsUfu4+CMwHfgY8B/wUmJew+BLxuQPeQNBF9mTOd93bpnv+fBoR55xzefPuKeecc3nzpOGccy5vnjScc87lzZOGc865vHnScM45lzdPGs455/LmScM551ze/j8vk1nU0Xt9zwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Draw the Normal Distribution\n",
    "plt.figure()\n",
    "resid = price_model.resid\n",
    "x = pd.Series(resid)\n",
    "p1 = x.plot(kind = 'kde')\n",
    "#可以是’line’, ‘bar’, ‘barh’, ‘kde’.kde是密度图。\n",
    "p2 = x.hist(normed = True)\n",
    "plt.title(\"Price Model Distribution\")\n",
    "plt.grid(True)\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Log return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(log_return, lags=20, title=\"Log Return\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于截尾与拖尾：\n",
    "\n",
    "拖尾：始终有非零取值，不会在k大于某个常数后就恒等于零(或在0附近随机波动)\n",
    "截尾：在大于某个常数k后快速趋于0为k阶截尾\n",
    "\n",
    "AR模型：自相关系数拖尾，偏自相关系数截尾；\n",
    "MA模型：自相关系数截尾，偏自相关函数拖尾；\n",
    "ARMA模型：自相关函数和偏自相关函数均拖尾。\n",
    "\n",
    "AR模型对应p，根据偏自相关图的截尾位置确定p，ACF与PACF图的横轴均从0开始，如果PACF在2时还在置信区间以外，从3开始之后均在置信区间以内，则定p为2。MA模型对应q，根据自相关图的截尾位置确定q，确定方法同p。  \n",
    "\n",
    "判断：ACF图在2之后截尾，而PACF拖尾。    \n",
    "模型可以由MA(2)→ARIMA(0,1,2).  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12b552450>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Build ARIMA Model\n",
    "model = smt.ARMA(log_return,(0,2)).fit(method='css')\n",
    "#使用最小二乘，‘mle’是极大似然估计\n",
    "\n",
    "#画图比较一下预测值和真实观测值之间的关系\n",
    "fig = plt.figure(figsize=(20,10))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(log_return, color ='blue', label = 'Log Return')\n",
    "ax.plot(model.fittedvalues, color = 'red', label = 'ARIMA')\n",
    "\n",
    "plt.legend(loc = 'best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Daniel_Sou/opt/anaconda3/lib/python3.7/site-packages/pandas/plotting/_core.py:2477: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  ax.hist(values, bins=bins, **kwds)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(*args, **kw)>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "build_model(log_return)\n",
    "## Draw the Normal Distribution\n",
    "plt.figure()\n",
    "x = pd.Series(resid)\n",
    "p1 = x.plot(kind = 'kde')\n",
    "#可以是’line’, ‘bar’, ‘barh’, ‘kde’.kde是密度图。\n",
    "p2 = x.hist(normed = True)\n",
    "plt.grid(True)\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-27.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -27.023\n",
       "P-value                         0.000\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ADF Testing 單位根檢驗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 单位根检验(原假设H0：时间序列具有单位根（不平稳）)：\n",
    "# http://www.statsmodels.org/stable/generated/statsmodels.tsa.stattools.adfuller.html?\n",
    "# highlight=adfuller#statsmodels.tsa.stattools.adfuller\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "def DFTest(sales, regression, maxlag , autolag='AIC'):\n",
    "    print(\"ADF - Test Result >>\")\n",
    "    dftest = adfuller(sales,regression=regression, maxlag = maxlag, autolag = autolag)\n",
    "    \n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','P-Value','Lags Used','Nobs'])\n",
    "    \n",
    "    for key, value in dftest[4].items():\n",
    "        dfoutput['Critical Value at %s'% key] = value\n",
    "    print(dfoutput)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF - Test Result >>\n",
      "Test Statistic           -27.022930\n",
      "P-Value                    0.000000\n",
      "Lags Used                  0.000000\n",
      "Nobs                     749.000000\n",
      "Critical Value at 1%      -3.439111\n",
      "Critical Value at 5%      -2.865407\n",
      "Critical Value at 10%     -2.568829\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# regression可以根据模型形式指定为：\n",
    "# ‘c'：仅常数，默认；’ct‘：常数和长期趋势；’ctt’：常数、线性和二次曲线趋势；‘nc’：无常数趋势。\n",
    "\n",
    "DFTest(log_return, regression='c',maxlag=6, autolag='AIC')\n",
    "#对原始数据进行单位根检验"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion - ARIMA\n",
    "完成了ARIMA算法的建模，平稳性、白噪声检验、残差正态性分析、BIC分析等工作。  \n",
    "简单的总结一下，ARIMA算法建模需要先看一下原数据是否平稳，如果平稳直接建立ARMA模型，如果不平稳则可能需要建立ARIMA模型，两者的区别就是是否需要对原数据进行差分处理，差分的目的是让数据变得平稳。\n",
    "\n",
    "之后，可以通过ACF、PACF图或者BIC最小原则确定p与q。  \n",
    "最后，根据(p,d,q)建模，进而预测。文末提及的各种检验工作只是对中间结果的辅助分析，用以评判当前的参数是否适用。  \n",
    "\n",
    "项目开发过程中，发现一个有趣的现象，如果要预测60步结果，则前20步结果还是有一定的波动的，21步以后，预测结果便呈现明显的线性变化关系，很直的一条线哦，初步来看这样的预测效果不会太好！\n",
    "\n",
    "这也让我想起之前文献中的一句话，“ARIMA可以做短期预测”，这其中的深层原因还待后续研究！  \n",
    "\n",
    "————————————————  \n",
    "版权声明：本文为CSDN博主「巴顿庄园」的原创文章，遵循CC 4.0 BY-SA版权协议，转载请附上原文出处链接及本声明。  \n",
    "原文链接：https://blog.csdn.net/fs01234/article/details/88914930"
   ]
  }
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